PPT-Conditional & Joint Probability

A brief digression back to joint probability ie both events O and H occur   Again we can express joint probability in terms of their separate conditional and unconditional probabilities. Hubarth. Algebra II. Conditional probability . contain a condition that may limit the sample space for an event. You . can write a conditional probability using the notation P(B|A), read “ the probability of event B,. Alan Edelman. Oren . Mangoubi. , Bernie Wang. Mathematics. Computer Science & AI Labs. January 13, 2014. Talk Sandwich. Stories ``Lost and Found”: Random Matrices in the years 1955-1965. Integral Geometry Inspired Method for Conditional Sampling from Gaussian Ensembles. Coins game. Toss 3 coins. You win if . at least two . come out heads. S. = { . HHH. , . HHT. , . HTH. , . HTT. , . T. HH. , . T. HT. , . T. TH. , . T. TT. }. equally likely outcomes. W. = { . HHH. We know how . to . solve . probability . problems involving rolling . of 2 dice.. MATH 110 Sec 13-3 Lecture: Conditional Probability and Intersection of Events . We know how . to . solve . probability . Computer Science cpsc322, Lecture 26. (Textbook . Chpt. 6.1-2). Nov. , . 2013. Lecture Overview. Recap with Example. Marginalization. Conditional Probability. Chain Rule. Bayes. ' Rule. Marginal Independence. Applied Statistics and Probability for Engineers. Sixth Edition. Douglas C. Montgomery George C. . Runger. Chapter 5 Title and Outline. 2. 5. Joint Probability Distributions. 5-1 Two or More Random Variables. 15-381/681 . AI Lecture 10. Read . Chapter . 14.1-3 . of Russell & . Norvig. With thanks to Dan Klein (Berkeley), Percy Liang (Stanford) and Past 15-381 Instructors for slide . contents, . particularly Ariel . “I revoke my will if [condition] occurs.”. 2. Implied conditional revocation. (Dependent Relative Revocation). Fact Pattern:. 1. Testator executed valid Will 1.. 2. Testator validly revoked Will 1.. Chapter 13. Uncertainty in the World. An agent can often be uncertain about the state of the world/domain since there is often ambiguity and uncertainty. Plausible/. probabilistic inference. I’ve got this evidence; what’s the chance that this conclusion is true?. Sixth Edition. Douglas C. Montgomery George C. . Runger. Chapter 2 Title and Outline. 2. 2. Probability. 2-1 Sample Spaces and Events . 2-1.1 Random Experiments. 2-1.2 Sample Spaces . .  . .  . .  . .  . .  . .  . Announcements. Assignments:. HW9 (written). Due Tue 4/2, 10 pm. Optional Probability (online). Midterm:. Mon 4/8, in-class. Course Feedback:. See Piazza post for mid-semester survey. Coins game. Toss 3 coins. You win if . at least two . come out heads.. S. = { . HHH. , . HHT. , . HTH. , . HTT. , . THH. , . THT. , . TTH. , . TTT. }. W. = { . HHH. , . HHT. , . HTH. , . THH. }. Coins game. Outline. I. Semantics. * Figures are either from the . textbook site. or by the instructor.. II. Network construction. III. Conditional independence relations. I. Knowledge in an Uncertain Domain. . http://www.alexfb.com/cgi-bin/twiki/view/PtPhysics/WebHome. Probability for two continuous . r.v. .. http://tutorial.math.lamar.edu/Classes/CalcIII/DoubleIntegrals.aspx. Example 1 (class). A man invites his fiancée to a fine hotel for a Sunday brunch. They decide to meet in the lobby of the hotel between 11:30 am and 12 noon. If they arrive a random times during this period, what is the probability that they will meet within 10 minutes? (Hint: do this geometrically).